105605611111061 has 4 divisors (see below), whose sum is σ = 105605764826400. Its totient is φ = 105605457395724.

The previous prime is 105605611111031. The next prime is 105605611111129. The reversal of 105605611111061 is 160111116506501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105605611111061 - 2¹⁴ = 105605611094677 is a prime.

It is a super-3 number, since 3×105605611111061³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605611111001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75822491 + ... + 77202728.

It is an arithmetic number, because the mean of its divisors is an integer number (26401441206600).

Almost surely, 2^{105605611111061} is an apocalyptic number.

It is an amenable number.

105605611111061 is a deficient number, since it is larger than the sum of its proper divisors (153715339).

105605611111061 is an equidigital number, since it uses as much as digits as its factorization.

105605611111061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153715338.

The product of its (nonzero) digits is 5400, while the sum is 35.

Adding to 105605611111061 its reverse (160111116506501), we get a palindrome (265716727617562).

The spelling of 105605611111061 in words is "one hundred five trillion, six hundred five billion, six hundred eleven million, one hundred eleven thousand, sixty-one".